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Öğe AN APPROACH TO NUMERICAL SEMIGROUPS(Hacettepe Univ, Fac Sci, 2010) Ilhan, SedatIn this paper, we give some results on principal ideals of a numerical semigroup S = < s(1), s(2),...,s(p)> for p >= 2, p is an element of N. We also describe some relations between Apery subsets and ideals of S.Öğe ON A CLASS OF PSEUDO-SYMMETRIC NUMERICAL SEMIGROUPS(Pushpa Publishing House, 2011) Ilhan, Sedat; Suer, MeralIn this paper, we give some results on a class of pseudo-symmetric numerical semigroups such that S = 3, 3 + s, 3 + 2s , where s is an element of Z(+) and 3 is not the multiplicity of s.Öğe On a family of saturated numerical semigroups with multiplicity four(Tubitak Scientific & Technological Research Council Turkey, 2017) Suer, Meral; Ilhan, SedatIn this study, we will give some results on Arf numerical semigroups of multiplicity four generated by {4, k, k+1, k + 2} where k is an integer not less than 5 and k equivalent to 1(mod 4).Öğe On the saturated numerical semigroups(De Gruyter Open Ltd, 2016) Ilhan, Sedat; Suer, MeralIn this study, we characterize all families of saturated numerical semigroups with multiplicity four. We also present some results about invariants of these semigroups.Öğe ON TRIPLY GENERATED TELESCOPIC SEMIGROUPS WITH MULTIPLICITY 8 AND 9(Publ House Bulgarian Acad Sci, 2020) Suer, Meral; Ilhan, SedatIn this study, we compute the families of triply generated telescopic semigroups with multiplicity 8 and 9.Öğe SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS(Turkic World Mathematical Soc, 2018) Sokol, Janusz; Ilhan, Sedat; Guney, H. OzlemIn this paper, we investigate upper bounds for the second Hankel determinant in several classes of analytic functions in the open unit disc, related to shell-like curves and connected with Fibonacci numbers.Öğe An upper bound for third Hankel determinant of starlike functions connected with k-Fibonacci numbers(Springer International Publishing Ag, 2019) Guney, H. Ozlem; Ilhan, Sedat; Sokol, JanuszIn this paper, we investigate the third Hankel determinant problem in some classes of analytic functions in the open unit disc connected with k-Fibonacci numbers Fk,n(k>0). For this, first, we prove a conjecture, posed in Guney et al. (2017), for sharp upper bound of the second Hankel determinant. In the sequel, we obtain another sharp coefficient bound which we apply in solving the problem of the third Hankel determinant for these functions. Finally, we give an upper bound for the third Hankel determinant in this class. The results presented in the present paper have been shown to generalize and improve some recent work of Soko et al. (2017).